Finding the Fourth Proportional to 1,215.27, 1,823.18 and 521.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,215.27 : 1,823.18 = 521.96 : x
2. Step 2: Convert to fraction form
   1,215.27/1,823.18 = 521.96/x
3. Step 3: Cross multiply
   1,215.27x = 1,823.18 × 521.96
4. Step 4: Simplify right side
   1,215.27x = 951,615.31
5. Step 5: Solve for x
   x = 951,615.31/1,215.27
6. Step 6: Final answer
   x = 783.05